Application of the theory developed here to the Extended Wigner's Friend scenario reveals logical loopholes in several no-go theorems. These no-go theorems take for granted on the validity of the law of total probability in quantum theory. However, this is not the case as shown in Theorem REF  and Corollary REF  and REF . Thus, the no-go theorems do not lead to the desired conclusions. For instance, the violation of the inequalities developed in [1]} and [2]} in quantum theory does not necessarily lead to to desired statement that “measured facts are observed-dependent". Instead, it just reconfirms the invalidity of the law of total probability or the law of marginal probability in quantum theory. We do not take a stand on the assertions themselves of the no-go theorems. It could be still a valid statement that “measured facts are observed-dependent". What we show here is that there are logical loopholes to reach such statement. It is desirable to find more convincing proof and experimental testing because the implications of the extended Wigner's friend scenario are conceptually fundamental in quantum theory.
